This bilingual blog - 'आन्याची फाटकी पासोडी' in Marathi- is largely a celebration of visual and/or comic ...तुकाराम: "ढेकणासी बाज गड,उतरचढ केवढी" (Tukaram: For a bedbug a bed is like a castle. so much climbing up and down!)... George Santayana: " Everything in nature is lyrical in its ideal essence, tragic in its fate, and comic in its existence"...William Hazlitt: "Pictures are scattered like stray gifts through the world; and while they remain, earth has yet a little gilding."

G C Lichtenberg: “It is as if our languages were confounded: when we want a thought, they bring us a word; when we ask for a word, they give us a dash; and when we expect a dash, there comes a piece of bawdy.”

H. P. Lovecraft: "What a man does for pay is of little significance. What he is, as a sensitive instrument responsive to the world's beauty, is everything!"

Martin Amis: “Gogol is funny, Tolstoy in his merciless clarity is funny, and Dostoyevsky, funnily enough, is very funny indeed; moreover, the final generation of Russian literature, before it was destroyed by Lenin and Stalin, remained emphatically comic — Bunin, Bely, Bulgakov, Zamyatin. The novel is comic because life is comic (until the inevitable tragedy of the fifth act);...”

John Gray: "Unlike Schopenhauer, who lamented the human lot, Leopardi believed that the best response to life is laughter. What fascinated Schopenhauer, along with many later writers, was Leopardi’s insistence that illusion is necessary to human happiness."

Justin E.H. Smith: “One should of course take seriously serious efforts to improve society. But when these efforts fail, in whole or in part, it is only humor that offers redemption. So far, human expectations have always been strained, and have always come, give or take a bit, to nothing. In this respect reality itself has the form of a joke, and humor the force of truth.”

Thursday, January 12, 2012

"Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. "Immortality" may be a silly word, but probably a mathematician has the best chance of whatever it may mean."

Alexander Waugh:

"...Mathematics, in which physicists vest unwarranted confidence, is far too blunt a tool. It worked for Newton, Maxwell and Einstein because they found equations that accurately described the classical world. But with the discovery, in the early 20th century, of quantum mechanics, everything changed. Subatomic particles do not behave like large visible objects. One cannot measure a particle’s position and its velocity at the same time; the arrow of time cannot be observed in particle interactions; and (so Hawking believes) for a particle to travel between two points it has to take every ‘possible path’ between them simultaneously. The number of possible paths from A to B is, he claims, infinite. If this is correct, then it becomes a feature of the quantum world that all history, and all possible histories, also take place simultaneously.

How can mathematics, however sophisticated, be up to the task of dealing with this? Numbers, after all, were created by humans to describe things in the observed world. They are adjectival. How can one ascribe a number to a particle, or to its position, or its velocity if, while travelling from A to B, it is said to be in an infinite number of places simultaneously?..."

Robin McKie:

"Grigori Perelman, arguably the world's greatest mathematician, worked out a solution to one of the seven great unsolved mathematical problems, the Poincaré conjecture, in 2002. It was a magnificent achievement. Honours, cash, offers of world lecture tours and lucrative teaching posts were hurled at the Russian theorist. But Perelman turned down the lot, including the Fields medal, the mathematical world's equivalent of a Nobel prize, and a million dollars in prize money that the Clay Institute wanted to give him for his work. Since then, he has announced he has given up the study of mathematics altogether and has cut off communications with all journalists and nearly all his friends."

Shiv Visvanathan:

"One misses the celebration of science today. Science acquired its creativity through play and it is the playfulness of science that created a Jagadish Chandra Bose, a Raman, a Ramanujan or Chandrasekhar. Science as playfulness has to come back as cultural form to childhood and the universities. Science has to be enjoyable...

...Try an experiment. Make a list of our top scientists and read their speeches. Pick the best and you will see that our scientists have little understanding of the nature of science. Just try it with a sample of speeches from the Indian Science Congress. The illiteracy of our scientists and our politicians about science seems to be co-produced." (The Asian Age, Jan 12 2012)

India's Prime Minister Manmohan Singh declared 2012 as the 'National Mathematical year' as a tribute to Srinivasa Ramanujan. He also voiced concern over the "badly inadequate" number of competent mathematicians in the country.

I quote this because I find it very interesting how a historian like Shejwalkar invokes a mathematician like Bhāskarāchārya while comparing Nanasaheb Peshwa (1721-1761) (नानासाहेब पेशवा)- student claiming to be second in an imaginary class- to Shivaji (1630-1680) (शिवाजी) who is first.

Mathematics always brings to my mind one of the best books I have ever read: Simon Singh's 'Fermat's Last Theorem' (1997).

The author says in the preface:

"The story of Fermat’s Last Theorem is inextricably linked with the history of mathematics, touching on all the major themes of number theory. It provides a unique insight into what drives mathematics and, perhaps more important, what inspires mathematicians. The Last Theorem is at the heart of an intriguing saga of courage, skullduggery, cunning, and tragedy, involving all the greatest heroes of mathematics.

Ferrmat’s Last Theorem has its origins in the mathematics of ancient Greece, two thousand years before Pierre de Fermat constructed the problem in the form we know it today. Hence, it links the foundations of mathematics created by Pythagoras to the most sophisticated ideas in modern mathematics.”

For me the book becomes classy because it is as much about mathematicians as mathematics.

It quotes German mathematician Gottfried Leibniz on the imaginary number:

"The imaginary number is a fine and wonderful recourse of the divine spirit, almost an amphibian between being and non-being."

I first learnt about imaginary numbers in 1975. I was stunned: so math is not just about real. Although, I soon figured out how to deal with them and it was fun, how does one comprehend this 'imaginary' stuff?

I wish I was told about this quote of Leibniz then...Divine spirit, being and non-being...'saguna'(सगुण), 'nirguna' (निर्गुण), amphibian invoking my favourite frogs...

No wonder Vinoba Bhave (विनोबा भावे) is as much fascinated by imaginary numbers (i.e. mathematics) as 'Ishavasya-Vritti'. (Read a related post here.)

Google Doodle Honouring Pierre de Fermat

Carl Zimmer has just published a book "Science Ink" which explores the stories of people who have put equations, formulas, or other science-related images permanently on their body.

'In the early 1900s, a group of mathematicians turned set theory, first proposed by Georg Cantor in the 1870s, into a series of logical statements from which all of mathematics could be derived. The results include the "Zermelo-Fraenkel with Choice axioms," and inspired this enthusiast to take permanent note of the achievement on both arms. '

Pages

Will Self: “To attempt to write seriously is always, I feel, to fail – the disjunction between my beautifully sonorous, accurate and painfully affecting mental content, and the leaden, halting sentences on the page always seems a dreadful falling short. It is this failure – a ceaseless threnody keening through the writing mind – that dominates my working life, just as an overweening sense of not having loved with enough depth or recklessness or tenderness dominates my personal one.” John Berger: “Seeing comes before words. The child looks and recognizes before it can speak. But there is also another sense in which seeing comes before words. It is seeing which establishes our place in the surrounding world; we explain that world with words, but words can never undo the fact that we are surrounded by it. The relation between what we see and what we know is never settled.” Ezra Pound: "Make it new"...Mark Twain: "Oh, dear me, how unspeakably funny and owlishly idiotic and grotesque was that “plagiarism” farce! As if there was much of anything in any human utterance except plagiarism!... For substantially all ideas are second-hand, consciously and unconsciously drawn from a million outside sources.”… John Crowley: "Meanwhile the real world then, no matter what, will be as racked with pain and insufficiency as any human world at any time. It just won’t be racked by the same old pains and insufficiencies; it will be strange. It is forever unknowably strange, its strangeness not the strangeness of fiction or of any art or any guess but absolute. That’s its nature."...Alexander Waugh: "Beware of seriousness: it is a form of stupidity"...Charles Simic: "There is a wonderful moment when we realize that the picture we’ve been looking at for a long time has become a part of us as much as some childhood memory or some dream we once had. The attentive eye makes the world interesting. A good photograph, like a good poem, is a self-contained little universe inexhaustible to scrutiny." ... Hilary Mantel: “It’s for Shakespeare to penetrate the heart of a prince, and for me to study his cuff buttons.”… Ingmar Bergman: "It is my opinion that art lost its basic creative drive the moment it was separated from worship. It severed an umbilical cord and now lives its own sterile life"... Graham Greene: "Kim Philby betrayed his country-yes, perhaps he did, but who among us has not committed treason to something or someone more important than a country?"... Friedrich Schlegel: "Hercules…labored too…But the goal of his career was really always a sublime leisure, and for that reason he became one of the Olympians. Not so this Prometheus, the inventor of education and enlightenment…Because he seduced mankind into working, [he] now has to work himself, whether he wants to or not"... Walt Whitman: “Do I repeat myself? Very well then, I repeat myself.”...W H Auden: "…though one cannot always/ Remember exactly why one has been happy,/ There is no forgetting that one was"...Walter de la Mare: "No, No, Why further should we roam / Since every road man Journeys by, / Ends on a hillside far from Home / Under an alien sky"...Franz Kafka: “You can hold back from the suffering of the world. You have free permission to do so, and it is in accordance with your nature. But perhaps this very holding back is the one suffering you could have avoided.”..."Over these unremembered marble columns, / birds glide their old remembered way. / Dive in red gold setting tide and write dark alphabets on evening sky /whether an epitaph, chorus or strange augury / little man you only hope to know!"